Associate in Science Degree - STEM Course Sequence - Placement 4
This course sequence is for students:
- who are pursuing an AS degree -AND-
- who are planning to transfer to a four year university which requires Calculus I for the student’s chosen major -AND-
- who have been placed into MAT 105 or above -OR-
- who received As in their final math class in high school -OR-
- who have not taken a math class in 5 or more years but use algebra on a regular basis.
Because MAT 105 College Algebra can be taken as a prerequisite (before) or a corequisite (at the same time) to MAT 110 College Trigonometry there are two options for starting this course sequence.
|Semester||Course (s)||Credit Hours|
|1st||MAT 105 College Algebra||4 credit hours|
|2nd||MAT 110 College Trigonometry||4 credit hours|
|3rd||MAT 201 Calculus I||5 credit hours|
|4th||MAT 202 Calculus II||5 credit hours|
|5th||MAT 203 Calculus III OR MAT 215 Differential Equations||4 credit hours/3 credit hours|
- OR -
|Semester||Course (s)||Credit Hours|
|1st||MAT 105 College Algebra AND MAT 110 College Trigonometry||4 credit hours/3 credit hours|
|2nd||MAT 201 Calculus I||5 credit hours|
|3rd||MAT 202 Calculus II||5 credit hours|
|4th||MAT 203 Calculus III OR MAT 215 Differential Equations||4 credit hours/3 credit hours|
MAT 105 COLLEGE ALGEBRA 4 CREDITS
This course prepares students to study more advanced mathematics. Topics include the real number system, polynomials, inequalities, and exponential, logarithmic and rational functions. It also covers conic sections, determinants, sequences and series and the binomial theorem. To qualify for this course, students must demonstrate competence in both algebra and geometry. Lecture four hours per week.
Prerequisite: Satisfactory completion of MAT 086 or MAT 095 or qualifying score on Mathematics Test; AND satisfactory completion of MAT 092 or Geometry Proficiency Test or two semesters of high school geometry or equivalent with a grade of “C” or better.
Corequisite: MAT 097.
MAT 110 COLLEGE TRIGONOMETRY 3 CREDITS
The trigonometric functions of real numbers are studied with emphasis on the use of the rectangular coordinate system to define functions and to establish their properties. The graphs of the functions are studied to illustrate inverse relationships, periodicity, domain and range. Other topics include solution of triangles, proof of identities, trigonometric equations, polar coordinates and trigonometric form of complex numbers. Lecture three hours per week.
Prerequisite: Completion or concurrent registration in MAT 105 or qualifying score on Math Placement Test.
MAT 201 CALCULUS I 5 CREDITS (IAI: M1 900-1)
This course is a complete presentation of calculus with some applications, designed primarily for students preparing to study mathematics, computer science, engineering or physical sciences. Topics include theory and computation of limits, differentiation and an introduction to integration. Students will need to be familiar with many families of functions, including trigonometric, exponential and logarithmic functions. A prior course in trigonometry is required. This course applies to the IAI General Education Core Curriculum Mathematics package.
Prerequisite: Grade of “C” or better in both MAT 105 and MAT 110 or qualifying score on Mathematics Placement Test.
MAT 202 CALCULUS II 5 CREDITS (IAI: M1 900-2)
This course, which continues from MAT 201, is a complete presentation of calculus with some applications, designed primarily for students preparing to study mathematics, computer science, engineering or physical sciences. Students focus on applications of the definite integral, methods of integration, plane analytic geometry, hyperbolic functions and infinite series. Study also includes an introduction to polar coordinates and parametric equations. This course applies to the IAI General Education Core Curriculum Mathematics package.
Prerequisite: Grade of “C” or better in MAT 201.
MAT 203 CALCULUS III 4 CREDITS (IAI: M1 900-3)
This course extends to three dimensions the concepts learned in earlier math courses. Students will learn to work with algebraic and geometric descriptions of lines, planes and surfaces along with vectors and curvature. Partial differentiation and its applications and integrals involving two or more variables and their applications are examined. Selected topics from vector calculus may be included. This course applies to the IAI General Education Core Curriculum Mathematics package.
Prerequisite: Grade of “C” or better in MAT 202.
MAT 215 DIFFERENTIAL EQUATIONS 3 CREDITS
Students explore the methods of solving ordinary differential equations and related applications. Topics include various methods of solving first order differential equations, linear equations of higher order, systems of differential equations, elementary numerical methods and Laplace transforms.
Prerequisite: Grade of “C” or better in MAT 202 or permission of instructor.